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Course Information

Course Title	Code	Semester	Laboratory+Practice (Hour)	Pool	Type	ECTS
Fuzzy Mathematics	OSD110	FALL-SPRING	2+0	University	E	3

Learning Outcomes	1-Categorizes propositions. 2-Recognizes fuzzy proposition. 3-Defines the fuzzy set. 4-Applies the fuzzy relations in problems.

ECTS / WORKLOAD

Activity	Percentage (100)	Number	Time (Hours)	Total Workload (hours)
Course Duration (Weeks x Course Hours)		14	2	28
Classroom study (Pre-study, practice)		14	2	28
Assignments	0	0	0	0
Short-Term Exams (exam + preparation)	0	0	0	0
Midterm exams (exam + preparation)	40	1	10	10
Project	0	0	0	0
Laboratory	0	0	0	0
Final exam (exam + preparation)	60	1	15	15
	0	0	0	0
Total Workload (hours)				81
Total Workload (hours) / 30 (s)				2,7 ---- (3)
ECTS Credit				3

Course Content

Week	Topics	Study Metarials
1	Logic	R1. Section 1.1
2	Multi-valued Logic	R1. Section 1.2
3	Concept of Uncertainty	R1. Section 2.1
4	Fuzzy Logic	R1. Section 2.2
5	Fuzzy sets and membership functions	R1. Section 2.3
6	Relationships between fuzzy sets and classical sets	R1. Section 2.4
7	Fuzzy set operations	R1. Section 2.5
8	Fuzzy numbers and types of fuzzy numbers	R1. Section 3.1
9	Expressing linguistic expressions as fuzzy numbers	R1. Section 3.2
10	Operations of fuzzy numbers and their equivalents in daily life	R1. Section 3.3
11	Fuzzy relations	R1. Section 4.1
12	Composition of fuzzy relations and applications of them	R1. Section 4.2
13	Fuzzy decision-making methods-I	R1. Section 5.1
14	Fuzzy decision-making methods-II	R1. Section 5.2

Prerequisites	-
Language of Instruction	Turkish
Responsible	Assoc. Prof. Dr. Faruk KARAASLAN
Instructors	-
Assistants	-
Resources	R1. Lecture Notes
Supplementary Book	SR1. Paksoy, T., Pehlivan, N.Y. & Özceylan, E. (2013). Bulanık küme teorisi. Nobel Yayin: Ankara. SR2. Şen, Z. (2020). Bulanık mantık ilkeleri
Goals	To explain the concept of fuzziness, to learn basic concepts of fuzzy sets and applications of fuzzy sets
Content	Classical logic, multi-valued logic, fuzzy sets, fuzzy set operations, fuzzy relation, fuzzy number, and fuzzy decision-making methods

Program Learning Outcomes

	Program Learning Outcomes	Level of Contribution
1	Develops effective and empathic communication skills	-
2	Promotes the universality of social and cultural rights	-
3	Evaluates issues with analytical and critical thinking	-
4	Establishes effective oral and written communication	-
5	Uses information technologies effectively and in accordance with ethical rules	-
6	Develops a positive attitude towards lifelong learning	-

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